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PHILADELPHIA – Michael Carter-Williams had 21 points, a career-high 14 rebounds, six assists and four steals and the 76ers clinched the second-worst record in the NBA moments before hanging on to defeat the Boston Celtics 113-108 in the regular season home finale Monday night at the Wells Fargo Center. The victory snapped a four-game losing streak.

"I think that what everybody's seeing, is you've got arguably the best defensive rebounding rookie guard, statistically, in the history of the game," Sixers coach Brett Brown said. "His ability to change things and lead breaks after he rebounds makes him really, really unusually good. And I thought tonight he was pretty darn good."

Tony Wroten came off the bench to score 20 points for the Sixers (18-63) but fouled Jeff Green from beyond the 3-point line in the final minute. He also finished with seven turnovers.

Green hit all three free throws as the Celtics pulled within three points. But after a Philadelphia turnover, Chris Johnson stepped out of bounds while drilling an off-balance 3 that would have knotted the score with 0.9 seconds to play. James Anderson hit a pair of free throws to set the final score.

"We had a couple of miscues toward the end of the game, still, but we learn from those type of mistakes," said Sixers forward Thaddeus Young, who finished with 15 points, seven rebounds and seven assists, "and we try to come back in the next game and counter those mistakes that we had with positive energy and positive ways to finish our games."

Philadelphia will have the second-best odds, at 19.9 percent, of winning the No. 1 overall draft pick at the NBA draft lottery on May 20 and is guaranteed a top-five selection in the talent-rich NBA draft on June 26.

The Milwaukee Bucks secured the worst record in the league by losing to the Toronto Raptors 110-100 shortly before the Sixers' game ended and have a 25 percent chance of acquiring the top overall draft pick.

"I actually think in a very twisted way, and I mean this, you know I mean this, that I'm going to look back at this year and I'm going to look at guys that just played their tail off," Brown said before the game. "They didn't know what they didn't know. They came in and they played, there was no expectation on them, we were trying to grow and develop and they got NBA minutes, and they looked at me and I looked at them and we incredibly survived a year like this where there were no fights in the locker room, there was no backstabbing in the locker room. We actually ran a very competitive and civil team. It was as close a team, despite what went on, as I've been around. And so … I really loved this year, in a very strange way, coaching these guys.

"Now the thing I do know, is this period of time is done. OK. This hall pass to a point is getting a little bit over," Brown said. "And we need to make progress in a different way next year with our own. And I look forward to that responsibility and challenge. Life is ever moving. This was a year all by itself, and it's mutually exclusive, I think, to what goes on in the future."

Philadelphia shot 54.4 percent (43 of 79) from the field, compared to 46.5 percent (40 of 86) by Boston, and outscored the Celtics 64-36 in the paint and 23-8 on the fastbreak.

The Sixers defeated the Celtics in three of four meetings this season, and won a four-game series against Boston for the first time since the 2006-07 season. Philadelphia finished with a 10-31 record at the Wells Fargo Center this season.

"We wanted to go out with a bang," Wroten said. "To be able to win in front of the fans like that, it's a great feeling."

The Sixers owned a 67-50 advantage at halftime and led by as many as 19 points. They surged in the second quarter, which began with the score tied at 33.

Young dove for a loose ball and dished ahead to Wroten, whose slam the Sixers their first double-digit lead, at 53-43, with six minutes remaining in the first half.

The 67 first-half points was the Sixers' most prolific output since scoring 70 in a 123-98 victory against the Detroit Pistons on March 29, which snapped their NBA record-tying 26-game losing streak.

Boston whittled its deficit to single digits, at 83-74, with about three minutes remaining in the third quarter and closed the gap to 86-84 by the start of the fourth.

The Celtics outscored the Sixers 34-19 in the third quarter.

But Philadelphia opened the fourth quarter on an 11-4 run to re-establish a cushion and thrill the boisterous announced crowd of 17,822. Wroten scored on back-to-back layups during the stretch to help push the Sixers' lead to 97-88 with about 8 minutes to play.

Green completed a 3-point play to trim the Sixers' lead to 99-96 with about 5½ minutes remaining. Olynyk drilled another shot from long range and two free throws to narrow the deficit to 105-103 with two minutes left, but the Sixers never relinquished the lead.

"I just want to end strong. I wanted to end of a positive note, especially here at home," Carter-Williams said. "Coach always tells us to keep playing. … We're just playing for each other, really, and that actually is playing for something, playing for a lot."